444220033233213 has 48 divisors (see below), whose sum is σ = 681746429211120. Its totient is φ = 277761838252032.

The previous prime is 444220033233191. The next prime is 444220033233239. The reversal of 444220033233213 is 312332330022444.

444220033233213 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 2 + 0 + 0 + 3 + 323 + 321 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 253137709731204 + 191082323502009 = 15910302^2 + 13823253^2 .

It is not a de Polignac number, because 444220033233213 - 2¹³ = 444220033225021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444220033233283) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 991797045 + ... + 992244837.

It is an arithmetic number, because the mean of its divisors is an integer number (14203050608565).

Almost surely, 2^{444220033233213} is an apocalyptic number.

It is an amenable number.

444220033233213 is a deficient number, since it is larger than the sum of its proper divisors (237526395977907).

444220033233213 is a wasteful number, since it uses less digits than its factorization.

444220033233213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470238 (or 470235 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 444220033233213 its reverse (312332330022444), we get a palindrome (756552363255657).

The spelling of 444220033233213 in words is "four hundred forty-four trillion, two hundred twenty billion, thirty-three million, two hundred thirty-three thousand, two hundred thirteen".